Response Analysis of Thin Circular Plates in the Local Gaussian Temperature Field

LONG Lian-chun; ZHANG Chao-ya

doi:10.3879/j.issn.1000-0887.2016.04.007

Volume 37 Issue 4

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LONG Lian-chun, ZHANG Chao-ya. Response Analysis of Thin Circular Plates in the Local Gaussian Temperature Field[J]. Applied Mathematics and Mechanics, 2016, 37(4): 391-403. doi: 10.3879/j.issn.1000-0887.2016.04.007

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Response Analysis of Thin Circular Plates in the Local Gaussian Temperature Field

doi: 10.3879/j.issn.1000-0887.2016.04.007

College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, P.R.China

Funds: The National Natural Science Foundation of China（11272020）

Received Date: 2015-11-11
Rev Recd Date: 2016-01-04
Publish Date: 2016-04-15

Abstract

Abstract

Based on the theory for thermal bending of thin plates, the analytical expressions for deflections and thermal stresses of circular plates were derived in the Gaussian temperature field, and the influences of boundary conditions and local temperature parameters on the deflections and thermal stresses were discussed, thus to provide a theoretical basis for the thermodynamics analysis of thin plate structures under local heating. The results show that, the maximum values of both deflections and compressive stresses occur at the circular plates’centers. Within the heat-impacted zone of the circular plate, the deflection at a point shows a trend of the Gaussian decrease with the increase of the distance from the point to the plate center. Outside the heat-impacted zone, the boundary constraints on the circular plate and the irradiation factor influence the changes of deflections. The analytical solutions of the circular plate deflections are consistent with the numerical results. The deflection of the simply supported circular plate firstly decreases linearly with the irradiation factor. Within the heat-impacted zone, thermal stresses at a point show a trend of the Gaussian decrease with the increase of the distance from the point to the plate center. The changing trends of the thermal stresses are similar between the simply supported and the clamped circular plates. Outside the heat-impacted zone, the boundary constraints and the irradiation factor influence the changing trends of thermal stresses.
- circular plate,
- boundary condition,
- thermal stress,
- thermal deformation,
- local temperature change

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References(13)

References

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